Abstract
We review phase transitions involving aperiodic crystals. Because the symmetry of aperiodic crystals is not a three-dimensional space group, but an n-dimensional superspace group, the usual procedure in the Landau theory has to be reconsidered. There are transitions where the dimension of the (super)space changes, and transitions where that is not the case. Moreover, different classes of aperiodic crystals pose specific problems. Phase transitions with modulated phases, incommensurate composites, quasicrystals, and incommensurate magnetic structures are discussed.
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